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Volumn , Issue , 2013, Pages 261-272

Communication-optimal parallel recursive rectangular matrix multiplication

Author keywords

linear algebra; matrix multiplication; ommunication avoiding algorithms

Indexed keywords

DISTRIBUTED MEMORY; LINES OF CODE; MATRIX MULTIPLICATION; PARALLEL LINEAR ALGEBRAS; RECTANGULAR MATRIX; SHARED MEMORY; SHARED MEMORY MACHINES; SQUARE MATRICES;

EID: 84884883916     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IPDPS.2013.80     Document Type: Conference Paper
Times cited : (119)

References (35)
  • 7
    • 0024883116 scopus 로고
    • Communication efficient matrix multiplication on hypercubes
    • DOI 10.1016/0167-8191(89)90091-4
    • J. Berntsen. Communication efficient matrix multiplication on hypercubes. Parallel Computing, 12(3):335-342, 1989. (Pubitemid 20644636)
    • (1989) Parallel Computing , vol.12 , Issue.3 , pp. 335-342
    • Berntsen, J.1
  • 12
    • 77954024841 scopus 로고    scopus 로고
    • Oblivious algorithms for multicores and network of processors
    • R. A. Chowdhury, F. Silvestri, B. Blakeley, and V. Ramachandran. Oblivious algorithms for multicores and network of processors. In IPDPS, pages 1-12, 2010.
    • (2010) IPDPS , pp. 1-12
    • Chowdhury, R.A.1    Silvestri, F.2    Blakeley, B.3    Ramachandran, V.4
  • 14
    • 0001555328 scopus 로고
    • Rapid multiplication of rectangular matrices
    • D. Coppersmith. Rapid multiplication of rectangular matrices. SIAM Journal on Computing, 11(3):467-471, 1982.
    • (1982) SIAM Journal on Computing , vol.11 , Issue.3 , pp. 467-471
    • Coppersmith, D.1
  • 15
    • 0031097276 scopus 로고    scopus 로고
    • Rectangular matrix multiplication revisited
    • DOI 10.1006/jcom.1997.0438, PII S0885064X97904386
    • D. Coppersmith. Rectangular matrix multiplication revisited. J. Complex., 13:42-49, March 1997. (Pubitemid 127172722)
    • (1997) Journal of Complexity , vol.13 , Issue.1 , pp. 42-49
    • Coppersmith, D.1
  • 16
    • 1842832833 scopus 로고    scopus 로고
    • Recursive blocked algorithms and hybrid data structures for dense matrix library software
    • E. Elmroth, F. Gustavson, I. Jonsson, and B. Kågström. Recursive blocked algorithms and hybrid data structures for dense matrix library software. SIAM review, 46(1):3-45, 2004.
    • (2004) SIAM Review , vol.46 , Issue.1 , pp. 3-45
    • Elmroth, E.1    Gustavson, F.2    Jonsson, I.3    Kågström, B.4
  • 21
    • 0014972944 scopus 로고
    • On minimizing the number of multiplications necessary for matrix multiplication
    • J. E. Hopcroft and L. R. Kerr. On minimizing the number of multiplications necessary for matrix multiplication. SIAM Journal on Applied Mathematics, 20(1):pp. 30-36, 1971.
    • (1971) SIAM Journal on Applied Mathematics , vol.20 , Issue.1 , pp. 30-36
    • Hopcroft, J.E.1    Kerr, L.R.2
  • 23
    • 0000559550 scopus 로고    scopus 로고
    • Fast Rectangular Matrix Multiplication and Applications
    • DOI 10.1006/jcom.1998.0476, PII S0885064X98904769
    • X. Huang and V. Y. Pan. Fast rectangular matrix multiplication and applications. J. Complex., 14:257-299, June 1998. (Pubitemid 128347318)
    • (1998) Journal of Complexity , vol.14 , Issue.2 , pp. 257-299
    • Huang, X.1    Pan, V.Y.2
  • 24
    • 10844258198 scopus 로고    scopus 로고
    • Communication lower bounds for distributed-memory matrix multiplication
    • DOI 10.1016/j.jpdc.2004.03.021
    • D. Irony, S. Toledo, and A. Tiskin. Communication lower bounds for distributed-memory matrix multiplication. J. Parallel Distrib. Comput., 64(9):1017-1026, 2004. (Pubitemid 40000755)
    • (2004) Journal of Parallel and Distributed Computing , vol.64 , Issue.9 , pp. 1017-1026
    • Irony, D.1    Toledo, S.2    Tiskin, A.3
  • 25
    • 0001289565 scopus 로고
    • An inequality related to the isoperimetric inequality
    • L. H. Loomis and H. Whitney. An inequality related to the isoperimetric inequality. Bulletin of the AMS, 55:961-962, 1949.
    • (1949) Bulletin of the AMS , vol.55 , pp. 961-962
    • Loomis, L.H.1    Whitney, H.2
  • 26
    • 0040170057 scopus 로고
    • On the asymptotic complexity of rectangular matrix multiplication
    • G. Lotti and F. Romani. On the asymptotic complexity of rectangular matrix multiplication. Theoretical Computer Science, 23(2):171-185, 1983.
    • (1983) Theoretical Computer Science , vol.23 , Issue.2 , pp. 171-185
    • Lotti, G.1    Romani, F.2
  • 27
    • 0000743020 scopus 로고    scopus 로고
    • Memory-efficient matrix multiplication in the BSP model
    • W. F. McColl and A. Tiskin. Memory-efficient matrix multiplication in the BSP model. Algorithmica, 24:287-297, 1999. 10.1007/PL00008264. (Pubitemid 129715337)
    • (1999) Algorithmica (New York) , vol.24 , Issue.3-4 , pp. 287-297
    • McColl, W.F.1    Tiskin, A.2
  • 32
    • 34250487811 scopus 로고
    • Gaussian elimination is not optimal
    • V. Strassen. Gaussian elimination is not optimal. Numer. Math., 13:354-356, 1969.
    • (1969) Numer. Math. , vol.13 , pp. 354-356
    • Strassen, V.1
  • 33
    • 0031123769 scopus 로고    scopus 로고
    • SUMMA: Scalable universal matrix multiplication algorithm
    • R. A. van de Geijn and J. Watts. SUMMA: scalable universal matrix multiplication algorithm. Concurrency - Practice and Experience, 9(4):255-274, 1997. (Pubitemid 127679707)
    • (1997) Concurrency Practice and Experience , vol.9 , Issue.4 , pp. 255-274
    • Van De, G.R.A.1    Watts, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.